Question

1 кг масла, 1 кг сыра и 2 кг мяса заплатили 25 руб.За 1 кг масла,1 кг сыра и 3кг мяса заплатили 33 руб.1 кг масла дороже 1 кг сыра на 3 руб.Ск.стоит 1 кг сыра?(решение пжл)

Answer 1

33-25=8 (руб) стоит 1кг мяса
25-2 х8 = 9 (руб) стоят 1 кг масла и 1 кг сыра
(9-3) : 2= 3 (руб) стоит 1 кг сыра
3+3 = 6(руб) стоит 1 кг масла

Answer 2

Problem Analysis

We are given the following information: - 1 kg of oil, 1 kg of cheese, and 2 kg of meat were purchased for 25 rubles. - 1 kg of oil, 1 kg of cheese, and 3 kg of meat were purchased for 33 rubles. - 1 kg of oil is 3 rubles more expensive than 1 kg of cheese.

We need to find the cost of 1 kg of cheese.

Solution

Let's assume the cost of 1 kg of cheese is x rubles.

From the given information, we can form the following equations:

Equation 1: 1 kg of oil + 1 kg of cheese + 2 kg of meat = 25 rubles Equation 2: 1 kg of oil + 1 kg of cheese + 3 kg of meat = 33 rubles Equation 3: 1 kg of oil = 1 kg of cheese + 3 rubles

We can solve this system of equations to find the value of x.

Subtracting Equation 1 from Equation 2, we get: (1 kg of oil + 1 kg of cheese + 3 kg of meat) - (1 kg of oil + 1 kg of cheese + 2 kg of meat) = 33 rubles - 25 rubles 2 kg of meat = 8 rubles 1 kg of meat = 4 rubles

Substituting the value of 1 kg of meat in Equation 1, we get: 1 kg of oil + 1 kg of cheese + 2 kg of meat = 25 rubles 1 kg of oil + 1 kg of cheese + 2 * 4 rubles = 25 rubles 1 kg of oil + 1 kg of cheese + 8 rubles = 25 rubles 1 kg of oil + 1 kg of cheese = 25 rubles - 8 rubles 1 kg of oil + 1 kg of cheese = 17 rubles

Substituting the value of 1 kg of oil from Equation 3 in the above equation, we get: (1 kg of cheese + 3 rubles) + 1 kg of cheese = 17 rubles 2 kg of cheese + 3 rubles = 17 rubles 2 kg of cheese = 17 rubles - 3 rubles 2 kg of cheese = 14 rubles 1 kg of cheese = 14 rubles / 2 kg 1 kg of cheese = 7 rubles

Therefore, the cost of 1 kg of cheese is 7 rubles.

Answer

The cost of 1 kg of cheese is 7 rubles.